Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, G

Time bar (total: 2.4s)

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample544.0ms (23%)

Memory
21.5MiB live, 1 060.0MiB allocated
Samples
349.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-div: 80.0ms (51.7% of total)
ival-sub: 60.0ms (38.7% of total)
exact: 6.0ms (3.9% of total)
ival-true: 5.0ms (3.2% of total)
ival-assert: 3.0ms (1.9% of total)
Bogosity

preprocess16.0ms (0.7%)

Memory
-4.4MiB live, 32.9MiB allocated
Algorithm
egg-herbie
Rules
26×sub-neg
24×distribute-lft-neg-in
16×cancel-sign-sub-inv
12×associate-+l-
12×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
12012
2429
3689
41079
51249
61329
71389
81439
91459
063
1113
2123
0123
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- x (/ 1 3))
Outputs
(- x (/ 1 3))
(+.f64 x #s(literal -1/3 binary64))
Call 2
Inputs
(- x (/ 1 3))
(- (neg x) (/ 1 3))
(neg (- (neg x) (/ 1 3)))
Outputs
(- x (/ 1 3))
(+ x -1/3)
(- (neg x) (/ 1 3))
(- -1/3 x)
(neg (- (neg x) (/ 1 3)))
(+ x 1/3)

explain61.0ms (2.6%)

Memory
-19.8MiB live, 143.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
21.0ms512×0valid
Compiler

Compiled 38 to 24 computations (36.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 6.0ms (60.4% of total)
ival-sub: 2.0ms (20.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify4.0ms (0.2%)

Memory
9.8MiB live, 9.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
cost-diff128
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
Rules
+-lowering-+.f64
+-lowering-+.f32
1-exp
--lowering--.f32
sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2127
0127
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- x (/ 1 3))
x
(/ 1 3)
1
3
Outputs
(- x (/ 1 3))
(+.f64 x #s(literal -1/3 binary64))
x
(/ 1 3)
#s(literal 1/3 binary64)
1
#s(literal 1 binary64)
3
#s(literal 3 binary64)

localize17.0ms (0.7%)

Memory
8.5MiB live, 46.6MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy100.0%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Samples
9.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (54.3% of total)
ival-sub: 1.0ms (27.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Counts
2 → 12
Calls
Call 1
Inputs
#<alt (/ 1 3)>
#<alt (- x (/ 1 3))>
Outputs
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt x>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(- x (/ 1 3))
0.0ms
x
@-inf
(- x (/ 1 3))
0.0ms
x
@0
(- x (/ 1 3))

rewrite439.0ms (18.6%)

Memory
17.6MiB live, 882.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 912×accelerator-lowering-fma.f32
6 912×accelerator-lowering-fma.f64
4 474×*-lowering-*.f32
4 474×*-lowering-*.f64
3 944×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064
1254
21274
39734
085204
Stop Event
iter limit
node limit
Counts
2 → 313
Calls
Call 1
Inputs
(/ 1 3)
(- x (/ 1 3))
Outputs
#s(literal 1/3 binary64)
(+.f64 x #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (/.f64 #s(literal 1/27 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(+.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))))
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)))
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) #s(literal -1/27 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) #s(literal -1/9 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 (*.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 (*.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))) (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))))) (*.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (*.f64 x x)) (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (*.f64 x x)) (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (*.f64 x x)))
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64))
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))))) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 (*.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))))))
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 (*.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))))) (*.f64 (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))) (*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)))
(-.f64 x #s(literal 1/3 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (/.f64 (/.f64 #s(literal 1/19683 binary64) (+.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (/.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (+.f64 #s(literal 1/3 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (/.f64 #s(literal 1/81 binary64) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) x)) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))) (+.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1/19683 binary64) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))) (+.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))))

simplify23.0ms (1%)

Memory
0.2MiB live, 38.5MiB allocated
Algorithm
egg-herbie
Rules
192×accelerator-lowering-fma.f32
192×accelerator-lowering-fma.f64
144×*-lowering-*.f32
144×*-lowering-*.f64
96×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01330
13230
27530
315830
441230
552330
657630
759930
860130
060130
Stop Event
iter limit
saturated
Counts
12 → 12
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))

eval42.0ms (1.8%)

Memory
9.8MiB live, 88.2MiB allocated
Compiler

Compiled 11 326 to 758 computations (93.3% saved)

prune39.0ms (1.6%)

Memory
12.4MiB live, 87.5MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3223325
Fresh000
Picked101
Done000
Total3233326
Accuracy
100.0%
Counts
326 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x #s(literal 1/3 binary64))
53.0%
x
48.2%
#s(literal -1/3 binary64)
Compiler

Compiled 8 to 6 computations (25% saved)

simplify6.0ms (0.2%)

Memory
-32.3MiB live, 6.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x #s(literal 1/3 binary64))
Rules
+-lowering-+.f64
+-lowering-+.f32
--lowering--.f32
sub-neg
--lowering--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
167
277
077
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
-1/3
x
(- x 1/3)
x
1/3
Outputs
-1/3
#s(literal -1/3 binary64)
x
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
1/3
#s(literal 1/3 binary64)

localize18.0ms (0.8%)

Memory
33.5MiB live, 33.5MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 x #s(literal 1/3 binary64))
Samples
13.0ms256×0valid
Compiler

Compiled 9 to 6 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
const: 6.0ms (80.7% of total)
ival-sub: 1.0ms (13.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Counts
1 → 12
Calls
Call 1
Inputs
#<alt (- x 1/3)>
Outputs
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt x>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(- x 1/3)
0.0ms
x
@-inf
(- x 1/3)
0.0ms
x
@inf
(- x 1/3)

rewrite496.0ms (21%)

Memory
-55.2MiB live, 644.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 912×accelerator-lowering-fma.f32
6 912×accelerator-lowering-fma.f64
4 474×*-lowering-*.f32
4 474×*-lowering-*.f64
3 944×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
1213
21243
39723
085513
Stop Event
iter limit
node limit
Counts
1 → 312
Calls
Call 1
Inputs
(- x 1/3)
Outputs
(+.f64 x #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(+.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal -1/27 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))) (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (*.f64 x x)) (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (*.f64 x x)) (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (*.f64 x x)))
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64))
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))))
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))))) (*.f64 (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))) (*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)))
(-.f64 x #s(literal 1/3 binary64))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 (/.f64 #s(literal 1/19683 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (+.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/81 binary64) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) x)) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))) (/.f64 #s(literal 1/729 binary64) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))))
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(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1/19683 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))))
(*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))))
(*.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1/19683 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/81 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1/19683 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1/19683 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/81 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/81 binary64)) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/81 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/81 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1/19683 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))))

simplify22.0ms (0.9%)

Memory
33.2MiB live, 33.2MiB allocated
Algorithm
egg-herbie
Rules
192×accelerator-lowering-fma.f32
192×accelerator-lowering-fma.f64
144×*-lowering-*.f32
144×*-lowering-*.f64
96×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01330
13230
27530
315830
441230
552330
657630
759930
860130
060130
Stop Event
iter limit
saturated
Counts
12 → 12
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))

eval97.0ms (4.1%)

Memory
-0.2MiB live, 73.5MiB allocated
Compiler

Compiled 11 390 to 762 computations (93.3% saved)

prune120.0ms (5.1%)

Memory
2.2MiB live, 110.5MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3240324
Fresh000
Picked033
Done000
Total3243327
Accuracy
100.0%
Counts
327 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x #s(literal 1/3 binary64))
53.0%
x
48.2%
#s(literal -1/3 binary64)
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes4.0ms (0.2%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
x
(-.f64 x #s(literal 1/3 binary64))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Outputs
(-.f64 x #s(literal 1/3 binary64))
Calls

2 calls:

2.0ms
x
2.0ms
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
x
Outputs
x
#s(literal -1/3 binary64)
x
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
97.6%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0.1%)

Memory
3.3MiB live, 3.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
Outputs
#s(literal -1/3 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
48.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch43.0ms (1.8%)

Memory
-9.6MiB live, 29.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
0.028262279932632313
1160.1691315650248
33.0ms
-2.8163771291888864
-0.014917071597997296
Samples
8.0ms240×0valid
Compiler

Compiled 99 to 84 computations (15.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (56.4% of total)
ival-sub: 1.0ms (28.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify15.0ms (0.7%)

Memory
-24.9MiB live, 14.0MiB allocated
Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
11515
22015
32215
42315
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x #s(literal 1/3 binary64))
(if (<=.f64 x #s(literal -6124895493223875/18014398509481984 binary64)) x (if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) #s(literal -1/3 binary64) x))
#s(literal -1/3 binary64)
Outputs
(-.f64 x #s(literal 1/3 binary64))
(if (<=.f64 x #s(literal -6124895493223875/18014398509481984 binary64)) x (if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) #s(literal -1/3 binary64) x))
#s(literal -1/3 binary64)

soundness237.0ms (10%)

Memory
5.1MiB live, 123.5MiB allocated
Rules
6 912×accelerator-lowering-fma.f32
6 912×accelerator-lowering-fma.f64
4 474×*-lowering-*.f32
4 474×*-lowering-*.f64
3 944×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064
1254
21274
39734
085204
01330
13230
27530
315830
441230
552330
657630
759930
860130
060130
Stop Event
done
iter limit
saturated
iter limit
node limit
Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess116.0ms (4.9%)

Memory
16.4MiB live, 55.4MiB allocated
Compiler

Compiled 44 to 30 computations (31.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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